Dominican University, River Forest, IL 60305, United States.
Math Biosci Eng. 2012 Apr;9(2):445-59. doi: 10.3934/mbe.2012.9.445.
Anaerobic digestion has been modeled as a two-stage process using coupled chemostat models with non-monotone growth functions, [9]. This study incorporates the effects of an external toxin. After reducing the model to a 3-dimensional system, global stability of boundary and interior equilibria is proved using differential inequalities and comparisons to the corresponding toxin-free model. Conditions are given under which the behavior of the toxin-free model is preserved. Introduction of the toxin results in additional patterns such as bistabilities of coexistence steady states or of a periodic orbit and an interior steady state.
采用带有非单调生长函数的耦合恒化器模型对厌氧消化进行了两段式建模，[9]。本研究纳入了外部毒素的影响。在将模型简化为 3 维系统后，使用微分不等式和与相应无毒素模型的比较，证明了边界和内部平衡点的全局稳定性。给出了保持无毒素模型行为的条件。引入毒素会导致额外的模式，例如共存稳定态或周期轨道和内部稳定态的双稳定性。
